On the lengths of irreducible pairs of complex matrices
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Publication:3103251
DOI10.1090/S0002-9939-2011-11149-3zbMath1237.15014OpenAlexW1994957129MaRDI QIDQ3103251
Peter Rosenthal, William Ellison Longstaff
Publication date: 7 December 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11149-3
Algebraic systems of matrices (15A30) Linear spaces of operators (47L05) Other matrix groups over fields (20H20)
Related Items
The effect of assuming the identity as a generator on the length of the matrix algebra, Lengths of quasi-commutative pairs of matrices, The lengths of matrix incidence algebras over small finite fields, Generating systems of the full matrix algebra that contain nonderogatory matrices, The length function and matrix algebras, On the length of the group algebra of the dihedral group in the semi-simple case, Length realizability for pairs of quasi-commuting matrices, Words containing a basis for the algebra of all matrices, Length function and simultaneous triangularization of matrix pairs, Values of the length function for nonassociative algebras, A resolution of Paz's conjecture in the presence of a nonderogatory matrix, Commutativity of matrices up to a matrix factor, IRREDUCIBLE FAMILIES OF COMPLEX MATRICES CONTAINING A RANK-ONE MATRIX, Sweeping words and the length of a generic vector subspace of \(M_n(\mathbb{F})\), Systems of generators of matrix incidence algebras over finite fields, -MINIMUM SPANNING LENGTHS AND AN EXTENSION TO BURNSIDE’S THEOREM ON IRREDUCIBILITY, THE SLOT LENGTH OF A FAMILY OF MATRICES, Algebras of slowly growing length
Cites Work
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